Question

In: Statistics and Probability

True or False, The y-intercept in the linear regression equation describes the average outcome of y...

True or False, The y-intercept in the linear regression equation describes the average outcome of y when x = 1.

True or false, The slope in the linear regression equation describes the estimated difference in the y-variable if the explanatory variable x for a case happened to be one unit larger.

True or false, If the 95% confidence interval for the population slope is given by 0.22 to 0.33, then the sample slope is 0.275. As one increases the sample size, the margin of error in the confidence interval for the population slope will?

Suppose one needs to apply the chi-square test to data organized in a 3 by 3 table. Then the degrees of freedom is equal to ___ Group of answer choices?

In the chi-square test of independence (between two categorical variables), if the difference between the observed and expected counts is significant, the null hypothesis will be?

Consider the equation Y = 5 - 2.32X. Then, for each 1-unit increase in X, Y will? The basic model in regression is of the form:?

True or false, Residual is the difference between what was observed in the sample and expected values obtained by the regression line.?

True or false, When the coefficient of correlation is near -1, we can speak of strong negative correlation.

Expert Solution

i) Correct answer: False,

since the y-intercept in the linear regression equation describes the average outcome of y when x = 0

ii) Correct answer: True

The slope in the linear regression equation describes the estimated difference in the y-variable if the explanatory variable x for a case happened to be one unit larger.

ii) Correct answer: True

If the 95% confidence interval for the population slope is given by 0.22 to 0.33, then the sample slope is 0.275.

iv) As one increases the sample size, the margin of error in the confidence interval for the population slope will decrease

v) Suppose one needs to apply the chi-square test to data organized in a 3 by 3 table. Then the degrees of freedom is equal to (3-1)*(3-1) = 2*2 = 4

v) In the chi-square test of independence (between two categorical variables), if the difference between the observed and expected counts is significant, the null hypothesis will be Rejected

vi) Consider the equation Y = 5 - 2.32X. Then, for each 1-unit increase in X, Y will decreases 2.32 the basic model in regression is of the form:

vi) Correct answer: FALSE

Residual is the difference between what was observed in the sample and expected values obtained by the regression line.?

vi) Correct answer: True

since When the coefficient of correlation is near -1, we can speak of strong negative correlation.

orchestra answered 2 years ago

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